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As CS6 is an old version and has reached End Of Life a crossgrade to another OS is not possible anymore. You will have to subscribe to CC anyway as CS6 is not compatible to El Capitan, which comes with every new Mac.
Wilhelm correctly mentioned about CS6 and El Capitan compatibility.
To answer your following question: "Can we use the same license and download onto a mac": CS6 Serial numbers are platform specific and hence Windows ones cannot be used on Mac OS.
You can visit here to get more info around creative cloud plans: Creative Cloud pricing and membership plans | Adobe Creative Cloud
If you take a subscription out to InDesign CC2015 you can use it on two computers - either both Windows or Mac or one of each. They are only licenced to be used one at a time. If you take out a monthly payment plan (instead of the cheaper annual payment plan), you can suspend payments if you don't want to use it for a period. Having the latest version means InDesign will work on the latest operating systems and will include the new features.
Sorry, but you need to invest into the CC subscription.
There however, you can use the products on any of the 2 OS environments and you are able to change from OSX to windows and back if needed. You may even install and activate the software on 2 computers (laptop/desktop or office/home), provided that you do not use the software on both computers at the same time. Those 2 computers do not need to be on the same OS.
The only work around to use your existing software is to run the Windows OS on your Apple computer for this application. There may even be a possibility to boot a virtual Windows system on top of the OSX.